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asambeis [7]
1 year ago
9

Rationalize the denominator.

Mathematics
1 answer:
AlekseyPX1 year ago
4 0

Hello and Good Morning/Afternoon!

<u>Let's take this problem step-by-step</u>:

<u>What the problem asks for:</u>

  ⇒ to rationalize the denominator

      ⇒ rationalize means that you multiply the numerator and

          demonimator by the denominator

<u>Let's put that into action</u>:

    \frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4  } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }<== <u>Answer</u>

<u></u>

Hopefully that helps!

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Starbucks sells their coffee for $3.36 for 24 ounces
Llana [10]

Answer:

Starbucks by 1 cent difference.

Step-by-step explanation:

Divide: 3.36 divided by 24 to find Starbucks. You get 14 cents per ounce

Divide: 2.40 divided by 16 to find Circle K. You get 15 cents per ounce

Compare: Starbucks is cheaper by 1 cent.

8 0
2 years ago
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Anybody know the answer?
Reika [66]

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6 0
3 years ago
Enter the numerator and the denominator of the fraction in simplest form that is equal to 0.7 repeating
valentinak56 [21]

Answer:

\frac{7}{9\\}

Step-by-step explanation:

8 0
1 year ago
Find a solution to the following system of equations. –5x + y = –5 –4x + 2y = 2
Arte-miy333 [17]
-5x + y = -5.....multiply by -2
-4x + 2y = 2
---------------
10x - 2y = 10 (result of multiplying by -2)
-4x + 2y = 2
-----------------add
6x = 12
x = 12/6
x = 2

-5x + y = -5
-5(2) + y = -5
-10 + y = -5
y = -5 + 10
y = 5

solution is (2,5)

8 0
3 years ago
Ms.Waddell put a 12-inch tall bucket under a leak in her sink. The bucket fills at a constant rate of 1/2 inch in every 1/6 of a
Angelina_Jolie [31]

Answer:

4 hours

Step-by-step explanation:

To solve this question you will simply make a ratio type equation. You know that every 1/6 of an hour, or every 10 minutes, the bucket will fill 1/2 an inch. The bucket is 12 inches tall.

\frac{10 min}{1/2 inch} = \frac{x min}{12 inches}

Cross multiply

120=\frac{1}{2} x

x=240 min

Convert minutes to inches

\frac{240 min}{1}  * \frac{1 hr}{60 min} = 4 hr

Final answer: 4 hours

Hope this helps!

8 0
3 years ago
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